# Besov spaces on open sets with the Dirichlet boundary condition and their application to the fractional Laplacian

2018/04/13 Fri 15:30 - 17:30

3号館251号室

In this talk, we introduce the Besov spaces associated with the Dirichlet Laplacian on an arbitrary open set. Basic properties such as the completeness, the embedding theorem, e.t.c. are shown. As an application, we will study the semigroup generated by the Dirichlet Laplacian of fractional order.